What is the Greatest Common Factor of 304 and 312?
Greatest common factor (GCF) of 304 and 312 is 8.
GCF(304,312) = 8
We will now calculate the prime factors of 304 and 312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 304 and 312.
How to find the GCF of 304 and 312?
We will first find the prime factorization of 304 and 312. After we will calculate the factors of 304 and 312 and find the biggest common factor number .
Step-1: Prime Factorization of 304
Prime factors of 304 are 2, 19. Prime factorization of 304 in exponential form is:
304 = 24 × 191
Step-2: Prime Factorization of 312
Prime factors of 312 are 2, 3, 13. Prime factorization of 312 in exponential form is:
312 = 23 × 31 × 131
Step-3: Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152
Step-4: Factors of 312
List of positive integer factors of 312 that divides 304 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 304 and 312. The biggest common factor number is the GCF number.
So the greatest common factor 304 and 312 is 8.
Also check out the Least Common Multiple of 304 and 312
Related Greatest Common Factors of 304
- GCF of 304 and 308
- GCF of 304 and 309
- GCF of 304 and 310
- GCF of 304 and 311
- GCF of 304 and 312
- GCF of 304 and 313
- GCF of 304 and 314
- GCF of 304 and 315
- GCF of 304 and 316
- GCF of 304 and 317
- GCF of 304 and 318
- GCF of 304 and 319
- GCF of 304 and 320
- GCF of 304 and 321
- GCF of 304 and 322
- GCF of 304 and 323
- GCF of 304 and 324
Related Greatest Common Factors of 312
- GCF of 312 and 316
- GCF of 312 and 317
- GCF of 312 and 318
- GCF of 312 and 319
- GCF of 312 and 320
- GCF of 312 and 321
- GCF of 312 and 322
- GCF of 312 and 323
- GCF of 312 and 324
- GCF of 312 and 325
- GCF of 312 and 326
- GCF of 312 and 327
- GCF of 312 and 328
- GCF of 312 and 329
- GCF of 312 and 330
- GCF of 312 and 331
- GCF of 312 and 332